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EJC
2006
13 years 9 months ago
Hamilton cycles in random lifts of graphs
An n-lift of a graph K, is a graph with vertex set V (K)
K. Burgin, Prasad Chebolu, Colin Cooper, Alan M. F...
EJC
2006
13 years 9 months ago
Toward the classification of Moufang loops of order 64
We show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonassociative Moufang loops of order 64 in a unified way. We conjecture that there are no oth...
Petr Vojtechovský
EJC
2006
13 years 9 months ago
Product representations of polynomials
For a fixed polyomial f Z[X], let k(N) denote the maximum size of a set A {1, 2, . . . , N} such that no product of k distinct elements of A is in the value set of f. In this pap...
Jacques Verstraëte
EJC
2006
13 years 9 months ago
On the canonical metric representation, average distance, and partial Hamming graphs
Average distance of a graph is expressed in terms of its canonical metric representation. The equality can be modified to an inequality in such a way that it characterizes isometr...
Sandi Klavzar
EJC
2006
13 years 9 months ago
Invariant subspaces, duality, and covers of the Petersen graph
A general method for finding elementary abelian regular covering projections of finite connected graphs is applied to the Petersen graph. As a result, a complete list of pairwise ...
Aleksander Malnic, Primoz Potocnik